Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, , 1 - 8, 22.07.2024
https://doi.org/10.54286/ikjm.1373938

Öz

Kaynakça

  • Akça, Z., Kaya R. (1997) On the taxicab trigonometry. Journal of Inst. Math. Comput. Sci. Math. Ser.,10(3):151–159.
  • Akça, Z., Kaya R. (2004) On the distance formulae in three dimensional taxicab space. Hadronic J., 27(5):521–532.
  • Akça, Z., Bayar, A., Ekmekçi, S. (2007) The norm in CC-plane geometry. Pi Mu Epsilon J. 12(6): 321-324.
  • Aydın, S. A. (2023) On Circular Inversions and Fractals. MSc thesis, Eskişehir Osmangazi University Institute of Science and Technology, Eskişehir, Turkey.
  • Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane. Journal of Advanced Research in Pure Mathematics, 6(4):33-39.
  • Bayar A., Ekmekçi S. (2015) On Complex Numbers and Taxicab Plane. Mathematical Sciences & Applications E-Notes, 3(1):58–64.
  • Blair, D. E. (2000) Inversion Theory and Conformal Mapping. American Math. Society, 9.
  • Cırık, Y., Ekmekçi, S. (2022) On The Maximum Spherical Inversions. Erzincan University, Jounal of Science and Technology, 15(1):360-371.
  • Childress, N. (1965) Inversion with Respect to the Central Conics. Mathematics Magazine, 38(3):147-149.
  • Ekici, C., Kocayusufoğlu, İ., Akça, Z. (1998) The Norm in Taxicab Geometry. Turkish Journal of Mathematics, 22(3):295-308.
  • Ekmekçi, S. (2023) A Note on the Maximum Circle Inverses of Lines in the Maximum Plane. Ikonion Journal of Mathematics, 5(2):1-9.
  • Ekmekçi, S, Bilgin, Y. (2023). On the Inverses of Lines under the Inversion in a Generalized Taxicab Circle. Hagia Sophia Journal of Geometry, 5(2):41-49.
  • Ekmekçi, S, Bilgin, Y. (2023). On The Inversion in the Generalized Taxicab Circle. Hagia Sophia Journal of Geometry, 5(2):50-58.
  • Ekmekçi S. (2023) On The Maxımum Cırcular Inverses Of Maxımum Cırcles. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 24(4):324-335.
  • Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19:1-9.
  • Gelişgen, Ö., Ermiş, T. (2023) Inversions and Fractal Patterns in Alpha Plane. International Electronic Journal of Geometry, 16 (1):398-411.
  • Kaya R., Akça Z., Özcan M., Günaltılı, İ. (2000) General equation for taxicab conics and their classification. Mitt. Math. Ges. Hamburg, 19(0):135–148.
  • Krause, E. F. (1975) Taxicab Geometry. Addison –Wesley Publishing Company, Menlo Park, CA.
  • Pekzorlu, A., Bayar, A. (2020) (a) On The Chinese Checkers Spherical Invesions in Three Dimensional Chinese Checker Space. Com. Fac. of Sci. Univ. of Ank. Ser. A1 M ath. and Stat., 69(2): 1498-1507.
  • Pekzorlu, A., Bayar, A. (2020) (b) Taxicab Spherical Inversions in Taxicab Space. Journal of Mahani Math. Research Center, 9(1-2): 45-54.
  • Pekzorlu, A., Bayar, A. (2022) On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry, 4(2):28–34.
  • Ramirez, J.L., Rubiano G.N., Jurcic-Zlobec B. (2015) A Generating fractal patterns by using p-circle inversion. Fractals, 23(4):1-13.
  • Schattschneider, D. J. (1984) The Taxicab Group. American Mathematical Monthly, (91):423- 428.
  • Yüca, G., Can, Z. (2020) On The Circular Inversion in Maximum Plane. Ikonion Journal of Mathematics, 2(2):26-34.

On Taxicab Circle Inverses of Lines

Yıl 2024, , 1 - 8, 22.07.2024
https://doi.org/10.54286/ikjm.1373938

Öz

This study conducts a thorough analytical examination of line inverses with respect to taxicab circle inversion within the analytical plane. It presents the distinctive properties exhibited by taxicab circle inverses of lines, highlighting their difference from Euclidean circle inverses.

Kaynakça

  • Akça, Z., Kaya R. (1997) On the taxicab trigonometry. Journal of Inst. Math. Comput. Sci. Math. Ser.,10(3):151–159.
  • Akça, Z., Kaya R. (2004) On the distance formulae in three dimensional taxicab space. Hadronic J., 27(5):521–532.
  • Akça, Z., Bayar, A., Ekmekçi, S. (2007) The norm in CC-plane geometry. Pi Mu Epsilon J. 12(6): 321-324.
  • Aydın, S. A. (2023) On Circular Inversions and Fractals. MSc thesis, Eskişehir Osmangazi University Institute of Science and Technology, Eskişehir, Turkey.
  • Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane. Journal of Advanced Research in Pure Mathematics, 6(4):33-39.
  • Bayar A., Ekmekçi S. (2015) On Complex Numbers and Taxicab Plane. Mathematical Sciences & Applications E-Notes, 3(1):58–64.
  • Blair, D. E. (2000) Inversion Theory and Conformal Mapping. American Math. Society, 9.
  • Cırık, Y., Ekmekçi, S. (2022) On The Maximum Spherical Inversions. Erzincan University, Jounal of Science and Technology, 15(1):360-371.
  • Childress, N. (1965) Inversion with Respect to the Central Conics. Mathematics Magazine, 38(3):147-149.
  • Ekici, C., Kocayusufoğlu, İ., Akça, Z. (1998) The Norm in Taxicab Geometry. Turkish Journal of Mathematics, 22(3):295-308.
  • Ekmekçi, S. (2023) A Note on the Maximum Circle Inverses of Lines in the Maximum Plane. Ikonion Journal of Mathematics, 5(2):1-9.
  • Ekmekçi, S, Bilgin, Y. (2023). On the Inverses of Lines under the Inversion in a Generalized Taxicab Circle. Hagia Sophia Journal of Geometry, 5(2):41-49.
  • Ekmekçi, S, Bilgin, Y. (2023). On The Inversion in the Generalized Taxicab Circle. Hagia Sophia Journal of Geometry, 5(2):50-58.
  • Ekmekçi S. (2023) On The Maxımum Cırcular Inverses Of Maxımum Cırcles. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 24(4):324-335.
  • Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19:1-9.
  • Gelişgen, Ö., Ermiş, T. (2023) Inversions and Fractal Patterns in Alpha Plane. International Electronic Journal of Geometry, 16 (1):398-411.
  • Kaya R., Akça Z., Özcan M., Günaltılı, İ. (2000) General equation for taxicab conics and their classification. Mitt. Math. Ges. Hamburg, 19(0):135–148.
  • Krause, E. F. (1975) Taxicab Geometry. Addison –Wesley Publishing Company, Menlo Park, CA.
  • Pekzorlu, A., Bayar, A. (2020) (a) On The Chinese Checkers Spherical Invesions in Three Dimensional Chinese Checker Space. Com. Fac. of Sci. Univ. of Ank. Ser. A1 M ath. and Stat., 69(2): 1498-1507.
  • Pekzorlu, A., Bayar, A. (2020) (b) Taxicab Spherical Inversions in Taxicab Space. Journal of Mahani Math. Research Center, 9(1-2): 45-54.
  • Pekzorlu, A., Bayar, A. (2022) On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry, 4(2):28–34.
  • Ramirez, J.L., Rubiano G.N., Jurcic-Zlobec B. (2015) A Generating fractal patterns by using p-circle inversion. Fractals, 23(4):1-13.
  • Schattschneider, D. J. (1984) The Taxicab Group. American Mathematical Monthly, (91):423- 428.
  • Yüca, G., Can, Z. (2020) On The Circular Inversion in Maximum Plane. Ikonion Journal of Mathematics, 2(2):26-34.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebirsel ve Diferansiyel Geometri
Bölüm Makaleler
Yazarlar

Seyit Ali Aydın 0000-0002-9502-6152

Ayşe Bayar

Erken Görünüm Tarihi 28 Nisan 2024
Yayımlanma Tarihi 22 Temmuz 2024
Gönderilme Tarihi 10 Ekim 2023
Kabul Tarihi 19 Şubat 2024
Yayımlandığı Sayı Yıl 2024

Kaynak Göster

APA Aydın, S. A., & Bayar, A. (2024). On Taxicab Circle Inverses of Lines. Ikonion Journal of Mathematics, 6(1), 1-8. https://doi.org/10.54286/ikjm.1373938
AMA Aydın SA, Bayar A. On Taxicab Circle Inverses of Lines. ikjm. Temmuz 2024;6(1):1-8. doi:10.54286/ikjm.1373938
Chicago Aydın, Seyit Ali, ve Ayşe Bayar. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics 6, sy. 1 (Temmuz 2024): 1-8. https://doi.org/10.54286/ikjm.1373938.
EndNote Aydın SA, Bayar A (01 Temmuz 2024) On Taxicab Circle Inverses of Lines. Ikonion Journal of Mathematics 6 1 1–8.
IEEE S. A. Aydın ve A. Bayar, “On Taxicab Circle Inverses of Lines”, ikjm, c. 6, sy. 1, ss. 1–8, 2024, doi: 10.54286/ikjm.1373938.
ISNAD Aydın, Seyit Ali - Bayar, Ayşe. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics 6/1 (Temmuz 2024), 1-8. https://doi.org/10.54286/ikjm.1373938.
JAMA Aydın SA, Bayar A. On Taxicab Circle Inverses of Lines. ikjm. 2024;6:1–8.
MLA Aydın, Seyit Ali ve Ayşe Bayar. “On Taxicab Circle Inverses of Lines”. Ikonion Journal of Mathematics, c. 6, sy. 1, 2024, ss. 1-8, doi:10.54286/ikjm.1373938.
Vancouver Aydın SA, Bayar A. On Taxicab Circle Inverses of Lines. ikjm. 2024;6(1):1-8.